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Finding the Fourth Proportional to 153,013.53, 210,968.82 and 101,914.29

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Solution

The fourth proportional to 153,013.53, 210,968.82 and 101,914.29 is: 140,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,013.53 : 210,968.82 = 101,914.29 : x
  2. Step 2: Convert to fraction form
    153,013.53/210,968.82 = 101,914.29/x
  3. Step 3: Cross multiply
    153,013.53x = 210,968.82 × 101,914.29
  4. Step 4: Simplify right side
    153,013.53x = 21,500,737,502.44
  5. Step 5: Solve for x
    x = 21,500,737,502.44/153,013.53
  6. Step 6: Final answer
    x = 140,515.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.